If you are a masochist and enjoy pain, then go ahead with trying to get in touch with Sony Support to assist with your issue, it will probably drive you insane, cost you alot of time and may be money if you call their PREMIUM RATE SUPPORT NUMBER
Id suggest an intial email to Sony Support and make clear you would like them TO CALL YOU on your mobile and not have to pay £££s to their coffers for the premium rate number
You will then get someone from Holland or SA call you back within a week and you can explain your situation and they will confirm whether your model is covered for a free repair
Personally id bite the bullet and either buy another new laptop - plent good deals on at momment for decent spec Sonys under £500 or go to a recommended repairer who will be able to reball the chip
If you live in Central London try the many repairers located at Queensway Computer Market next to the tube station on Central Line
Otherwise there are many repairers on eBay charging around £70-£100 to get this repair done, but check their feedback carefully to ensure they are able to deliver
Good luck and keep us posted how you get on